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Bar constructions for topological operads and the Goodwillie derivatives of the identity.

Ching, Michael (2005)

Geometry & Topology

Base change functors in the $𝔸^{1}$ -stable homotopy category.

Hu, Po (2001)

Homology, Homotopy and Applications

Basic constructions in rational homotopy theory of function spaces

Urtzi Buijs, Aniceto Murillo (2006)

Annales de l’institut Fourier

Via the Bousfield-Gugenheim realization functor, and starting from the Brown-Szczarba model of a function space, we give a functorial framework to describe basic objects and maps concerning the rational homotopy type of function spaces and its path components.

Batalin-Vilkovisky algebra structures on Hochschild cohomology

Luc Menichi (2009)

Bulletin de la Société Mathématique de France

Let $M$ be any compact simply-connected oriented $d$ -dimensional smooth manifold and let $𝔽$ be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of $M$ , $H H^{*} (S^{*} (M), S^{*} (M))$ , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on $M$ , $H_{* + d} (L M)$ introduced by Chas and Sullivan. We also show that the negative cyclic cohomology $H C_{-}^{*} (S^{*} (M))$ ...

Bemerkungen zur Borel-Moore-Homologie.

Michael Kernchen (1982)

Manuscripta mathematica

Bimorphisms in pro-homotopy and proper homotopy

Jerzy Dydak, Francisco Ruiz del Portal (1999)

Fundamenta Mathematicae

A morphism of a category which is simultaneously an epimorphism and a monomorphism is called a bimorphism. The category is balanced if every bimorphism is an isomorphism. In the paper properties of bimorphisms of several categories are discussed (pro-homotopy, shape, proper homotopy) and the question of those categories being balanced is raised. Our most interesting result is that a bimorphism f:X → Y of $t o w (H_{0})$ is an isomorphism if Y is movable. Recall that $(H_{0})$ is the full subcategory of $p r o - H_{0}$ consisting of...

Boardman's Category and the Process of Categorical Stabilization.

Friedrich Bauer (1973)

Mathematische Zeitschrift

Boolean algebras in algebraic topology.

Petrović, Zoran (2007)

Publications de l'Institut Mathématique. Nouvelle Série

Borel fibrations and G-spaces.

Martin Fuchs (1987)

Manuscripta mathematica

Borsuk's quasi-equivalence is not transitive

Andrzej Kadlof, Nikola Koceić Bilan, Nikica Uglešić (2007)